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Finding the Third Proportional to 512,552.25 and 814,603.50

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Solution

The third proportional to 512,552.25 and 814,603.50 is: 1,294,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,552.25 : 814,603.50 = 814,603.50 : x
  2. Step 2: Convert to fraction form
    512,552.25/814,603.50 = 814,603.50/x
  3. Step 3: Cross multiply
    512,552.25x = 814,603.50 × 814,603.50
  4. Step 4: Simplify right side
    512,552.25x = 663,578,862,212.25
  5. Step 5: Solve for x
    x = 663,578,862,212.25/512,552.25
  6. Step 6: Final answer
    x = 1,294,656.03

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.